On the dependence structure of wavelet coefficients for spherical random fields

doi:10.1016/j.spa.2009.07.005

CSpace

	On the dependence structure of wavelet coefficients for spherical random fields
	Lan, Xiaohong 1,2; Marinucci, Domenico 1
	2009-10-01
发表期刊	STOCHASTIC PROCESSES AND THEIR APPLICATIONS
ISSN	0304-4149
卷号	119 期号:10 页码:3749-3766
摘要	We consider the correlation structure of the random coefficients for a class of wavelet systems on the sphere (labelled Mexican needlets) which was recently introduced in the literature by [D. Geller, A. Mayeli, Nearly tight frames and space-frequency analysis on compact manifolds, Preprint, 2007. arxiv:0706.3642v2]. We provide necessary and sufficient conditions for these coefficients to be asymptotically uncorrelated in the real and in the frequency domain. Here, the asymptotic theory is developed in the high frequency sense. Statistical applications are also discussed, in particular with reference to the analysis of cosmological data. (C) 2009 Elsevier B.V. All rights reserved.
关键词	Spherical random fields Wavelets Mexican needlets High frequency asymptotics Cosmic microwave background radiation
DOI	10.1016/j.spa.2009.07.005
语种	英语
WOS研究方向	Mathematics
WOS类目	Statistics & Probability
WOS记录号	WOS:000270637500029
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/9032
专题	中国科学院数学与系统科学研究院
通讯作者	Marinucci, Domenico
作者单位	1.Univ Roma Tor Vergata, Dipartimento Matemat, I-00133 Rome, Italy 2.Chinese Acad Sci, Inst Math, Beijing 100864, Peoples R China
推荐引用方式 GB/T 7714	Lan, Xiaohong,Marinucci, Domenico. On the dependence structure of wavelet coefficients for spherical random fields[J]. STOCHASTIC PROCESSES AND THEIR APPLICATIONS,2009,119(10):3749-3766.
APA	Lan, Xiaohong,&Marinucci, Domenico.(2009).On the dependence structure of wavelet coefficients for spherical random fields.STOCHASTIC PROCESSES AND THEIR APPLICATIONS,119(10),3749-3766.
MLA	Lan, Xiaohong,et al."On the dependence structure of wavelet coefficients for spherical random fields".STOCHASTIC PROCESSES AND THEIR APPLICATIONS 119.10(2009):3749-3766.